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Finding the Fourth Proportional to 4,764.48, 7,150.20 and 4,728.28

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Solution

The fourth proportional to 4,764.48, 7,150.20 and 4,728.28 is: 7,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.48 : 7,150.20 = 4,728.28 : x
  2. Step 2: Convert to fraction form
    4,764.48/7,150.20 = 4,728.28/x
  3. Step 3: Cross multiply
    4,764.48x = 7,150.20 × 4,728.28
  4. Step 4: Simplify right side
    4,764.48x = 33,808,147.66
  5. Step 5: Solve for x
    x = 33,808,147.66/4,764.48
  6. Step 6: Final answer
    x = 7,095.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.